igneum/docs/analysis/cryptanalysis/logs/adv-mixer/lineindex-k4.log
igneum-labs 30b24efbe5 adv-mixer: fold-sweep (1024 days x 71 pairs) and lineindex rows, finished logs in the branch
Internal adversarial pass, not an independent review. 1,454,080,000 of
1,454,080,000 pair-trials violate affinity, 0 dead word pairs, 0 key-order
agreements over 1024 chain days; the 22 line-index bits are clean from K=2
and have no affine relation to the input even at K=1.

Co-Authored-By: Claude Fable 5.1 <noreply@anthropic.com>
2026-10-07 18:54:14 +00:00

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self-check: spec 1.8.1 and 1.8.4 genesis vectors OK; 72 application keys are 1..72 times 0x9E3779B9
lineindex day=20729 apps=4 states=1000000 threads=44 (22 address bits x 512 input bits = 11264 cells)
mean address-bit flip probability: 0.499998 (ideal 0.5); band 8 sigma = 0.004000
holes: 0 of 11264; strong-bias cells: 0 of 11264
worst cell: in_bit 13 -> addr_bit 16 p = 0.498123 (3.8 sigma)
VERDICT: no address-bit distinguisher at this K